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Simplify the following i - 28 div - 3 frac 1 2 ... - SS1 Mathematics The Real Number System Question

Simplify the following: (i) \(- 28\ \div \ - 3\frac{1}{2}\) (ii) \(9\ \times \ - 4\frac{1}{2}\) (iii) \(- 63 \times - 6\)

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(i) \(- 28\ \div \ - 3\frac{1}{2} = \ - \frac{28}{1} \div - \frac{7}{2} = \ - \frac{28}{1}\ \times \ - \frac{2}{7} = \ + \left( \frac{28}{1} \times \frac{2}{7} \right) = \ + \frac{8}{1} = \ + 8\)

 

(ii) \(9\ \times \ - 4\frac{1}{2} = \ \frac{9}{1} \times - \frac{9}{2} = \ - \frac{81}{2} = \ - 40\frac{1}{2}\)

 

(iii) \(- 63 \times - 6 = \ + (63 \times 6) = \ + 378\)

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